### Basic pattern method

Use 9x the same panmagic 4x4 square and 2 fixed grids to construct a most perfect (Franklin pan)magic 12x12 square.

 1x number from grid with 9x the same 4x4 panmagic square 15 6 12 1 15 6 12 1 15 6 12 1 4 9 7 14 4 9 7 14 4 9 7 14 5 16 2 11 5 16 2 11 5 16 2 11 10 3 13 8 10 3 13 8 10 3 13 8 15 6 12 1 15 6 12 1 15 6 12 1 4 9 7 14 4 9 7 14 4 9 7 14 5 16 2 11 5 16 2 11 5 16 2 11 10 3 13 8 10 3 13 8 10 3 13 8 15 6 12 1 15 6 12 1 15 6 12 1 4 9 7 14 4 9 7 14 4 9 7 14 5 16 2 11 5 16 2 11 5 16 2 11 10 3 13 8 10 3 13 8 10 3 13 8 + 16x number from fixed grid 1 0 2 2 0 2 0 0 2 1 1 1 1 2 0 0 2 0 2 2 0 1 1 1 1 0 2 2 0 2 0 0 2 1 1 1 1 2 0 0 2 0 2 2 0 1 1 1 1 0 2 2 0 2 0 0 2 1 1 1 1 2 0 0 2 0 2 2 0 1 1 1 1 0 2 2 0 2 0 0 2 1 1 1 1 2 0 0 2 0 2 2 0 1 1 1 1 0 2 2 0 2 0 0 2 1 1 1 1 2 0 0 2 0 2 2 0 1 1 1 1 0 2 2 0 2 0 0 2 1 1 1 1 2 0 0 2 0 2 2 0 1 1 1 1 + 48x number from grid 2 0 2 0 2 0 2 0 2 0 2 0 2 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 0 2 0 2 0 2 0 2 0 2 0 2 2 0 2 0 2 0 2 0 2 0 2 0 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 2 0 2 0 2 0 2 0 2 0 2 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 = most perfect 12x12 magic square 15 134 44 97 47 102 12 129 31 118 28 113 132 9 103 46 100 41 135 14 116 25 119 30 101 48 130 11 133 16 98 43 117 32 114 27 42 99 13 136 10 131 45 104 26 115 29 120 111 38 140 1 143 6 108 33 127 22 124 17 36 105 7 142 4 137 39 110 20 121 23 126 5 144 34 107 37 112 2 139 21 128 18 123 138 3 109 40 106 35 141 8 122 19 125 24 63 86 92 49 95 54 60 81 79 70 76 65 84 57 55 94 52 89 87 62 68 73 71 78 53 96 82 59 85 64 50 91 69 80 66 75 90 51 61 88 58 83 93 56 74 67 77 72

Notify that this most perfect 12x12 magic square has the extra tight Willem Barink structure.

12x12, Basic pattern method.xls